Write a program to create a recursive function to calculate the sum of numbers from 0 to 10

write a program to create a recursive function to calculate the sum of numbers from 0 to 10

Write a program to create a recursive function to calculate the sum of numbers from 0 to 10

Answer:
To create a recursive function that calculates the sum of numbers from 0 to 10, we need to understand the concept of recursion. Recursion is a method where the solution to a problem depends on solutions to smaller instances of the same problem.

Here’s a step-by-step guide to creating a recursive function in Python to calculate the sum of numbers from 0 to 10:

  1. Define the Base Case: The base case is the condition under which the recursion stops. For summing numbers, the base case occurs when the number is 0.
  2. Define the Recursive Case: The recursive case is where the function calls itself with a smaller problem. In this case, it will call itself with the number reduced by 1.

Here’s the Python program:

def sum_recursive(n):
    # Base case: if n is 0, the sum is 0
    if n == 0:
        return 0
    else:
        # Recursive case: sum of numbers from 0 to n is n plus the sum of numbers from 0 to n-1
        return n + sum_recursive(n - 1)

# Calculate the sum of numbers from 0 to 10
result = sum_recursive(10)
print("The sum of numbers from 0 to 10 is:", result)

Explanation:

  • The function sum_recursive takes an integer n as an argument.
  • If n is 0, it returns 0 (base case).
  • Otherwise, it returns n plus the result of sum_recursive(n - 1), which is the sum of numbers from 0 to n-1 (recursive case).

Output:
When you run the program, it will output:

The sum of numbers from 0 to 10 is: 55

This program correctly calculates the sum of numbers from 0 to 10 using recursion.